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Finding the Fourth Proportional to 355.73, 533.03 and 192.92

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Solution

The fourth proportional to 355.73, 533.03 and 192.92 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.73 : 533.03 = 192.92 : x
  2. Step 2: Convert to fraction form
    355.73/533.03 = 192.92/x
  3. Step 3: Cross multiply
    355.73x = 533.03 × 192.92
  4. Step 4: Simplify right side
    355.73x = 102,828.52
  5. Step 5: Solve for x
    x = 102,828.52/355.73
  6. Step 6: Final answer
    x = 289.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.